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Finding the Fourth Proportional to 458.82, 629.05 and 450.63

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Solution

The fourth proportional to 458.82, 629.05 and 450.63 is: 617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.82 : 629.05 = 450.63 : x
  2. Step 2: Convert to fraction form
    458.82/629.05 = 450.63/x
  3. Step 3: Cross multiply
    458.82x = 629.05 × 450.63
  4. Step 4: Simplify right side
    458.82x = 283,468.80
  5. Step 5: Solve for x
    x = 283,468.80/458.82
  6. Step 6: Final answer
    x = 617.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.